SOLUTION: Complete the square as an aid in graphing: SHOW ALL WORK y = -x^2 + 4x + 1

Algebra ->  Rational-functions -> SOLUTION: Complete the square as an aid in graphing: SHOW ALL WORK y = -x^2 + 4x + 1      Log On


   



Question 745603: Complete the square as an aid in graphing: SHOW ALL WORK
y = -x^2 + 4x + 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square as an aid in graphing: SHOW ALL WORK
y = -x^2 + 4x + 1
--------
y = -(x^2 -4x+ ?)+1 + ?
----------------------------
y = -(x^2 - 4x + ?) +1 + ?
-----
y = -(x^2-4x+4) 1 + 4
----
y = -(x-2)^2 + 5
---------------------
Vertex at (2,5)
Opening downward because of the "-" coefficient on (x-2)^2
-----
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B4x%2B1%29
====================
Cheers,
Stan H.